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Finding the Fourth Proportional to 12,152.50, 16,770.23 and 6,847.20

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Solution

The fourth proportional to 12,152.50, 16,770.23 and 6,847.20 is: 9,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.50 : 16,770.23 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    12,152.50/16,770.23 = 6,847.20/x
  3. Step 3: Cross multiply
    12,152.50x = 16,770.23 × 6,847.20
  4. Step 4: Simplify right side
    12,152.50x = 114,829,110.30
  5. Step 5: Solve for x
    x = 114,829,110.30/12,152.50
  6. Step 6: Final answer
    x = 9,449.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.